Use exponent properties to interpret exponential expressions, including percent growth and decay.
Interpret doubling time or half-life from an exponential function
Problem
Interpret the half-life or doubling time for the model \(A(t)=100(0.5)^t\), where \(t\) is measured in hours.
Big Picture
What this problem is really about
Doubling time and half-life connect a special multiplier to the input interval that applies it. We’ll identify the factor produced by a one-unit increase in the exponent, interpret whether it doubles or halves the amount, and state the corresponding time with units.
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